A174607 - OEIS

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A174607

Decimal expansion of Pi^2/(6*log(phi)) where phi=(1+sqrt(5))/2.

3, 4, 1, 8, 3, 1, 5, 9, 7, 0, 6, 1, 1, 2, 4, 3, 8, 5, 2, 9, 2, 7, 6, 3, 1, 3, 8, 7, 2, 4, 0, 6, 5, 9, 0, 8, 5, 9, 5, 8, 0, 6, 9, 4, 3, 2, 3, 3, 7, 7, 0, 0, 1, 6, 8, 4, 9, 2, 5, 5, 3, 5, 5, 4, 8, 0, 9, 2, 4, 8, 5, 5, 8, 7, 8, 3, 1, 2, 7, 2, 4, 8, 9, 2, 0, 7, 2, 8, 0, 4, 5, 7, 9, 0, 3, 3, 0, 9, 1, 9, 3, 0, 5, 0, 2

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..105.

Brigitte Vallée, Digits and continuants in Euclidean algorithms. Ergodic vs tauberian theorems, Journal de théorie des nombres de Bordeaux 12 (2000), 519-558.

EXAMPLE

3.41831597061124385292763138...

MATHEMATICA

RealDigits[Pi^2/(6*Log[GoldenRatio]), 10, 100][[1]] (* Amiram Eldar, May 24 2023 *)

PROG

(PARI) Pi^2/6/log((1+sqrt(5))/2) \\ Michel Marcus, Apr 04 2014